Aballoon is expanded to the same volume as that of a human head. do an order-of-magnitude estimate of the volume of this balloon in cm^3 a. 100cm^3 b. 1,000,000cm^3 c. 10cm^3 d. 1,000cm^3

Volume of balloon =  1000 cm^3

Explanation:

 The head of a normal person can be assumed as a sphere with radius 10 cm.

 Volume of sphere , where r is the radius.

 We have approximate radius = 10 cm.

  Approximate volume of head

 In the given options the closest value to the approximate volume is 1000 cm^3.

 So, volume of head = Volume of balloon =  1000 cm^3

the tires are rotating at 0.434 rpmlinear speed=45 m/sdiameter=0.550 mradius=0.275 mnow v= rωω= v/rω=45/0.275ω=163.6 rad/sω=163.6 rad/s (1rev/2π rad) (60s/1m)ω=1563 rpm